788247072 has 96 divisors (see below), whose sum is σ = 2420107200. Its totient is φ = 248914944.

The previous prime is 788247067. The next prime is 788247077. The reversal of 788247072 is 270742887.

It is an interprime number because it is at equal distance from previous prime (788247067) and next prime (788247077).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (788247077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7593 + ... + 40424.

It is an arithmetic number, because the mean of its divisors is an integer number (25209450).

Almost surely, 2^788247072 is an apocalyptic number.

788247072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210053600).

788247072 is an abundant number, since it is smaller than the sum of its proper divisors (1631860128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

788247072 is a wasteful number, since it uses less digits than its factorization.

788247072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48055 (or 48041 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 788247072 is about 28075.7381381149. The cubic root of 788247072 is about 923.7492995015.

The spelling of 788247072 in words is "seven hundred eighty-eight million, two hundred forty-seven thousand, seventy-two".